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Finding the Fourth Proportional to 354,432.80, 489,116.96 and 193,288.16

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Solution

The fourth proportional to 354,432.80, 489,116.96 and 193,288.16 is: 266,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,432.80 : 489,116.96 = 193,288.16 : x
  2. Step 2: Convert to fraction form
    354,432.80/489,116.96 = 193,288.16/x
  3. Step 3: Cross multiply
    354,432.80x = 489,116.96 × 193,288.16
  4. Step 4: Simplify right side
    354,432.80x = 94,540,517,223.19
  5. Step 5: Solve for x
    x = 94,540,517,223.19/354,432.80
  6. Step 6: Final answer
    x = 266,737.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.